55010142100 has 72 divisors (see below), whose sum is σ = 120678947928. Its totient is φ = 21764467200.

The previous prime is 55010142071. The next prime is 55010142101. The reversal of 55010142100 is 124101055.

It can be written as a sum of positive squares in 12 ways, for example, as 20830096 + 54989312004 = 4564^2 + 234498^2 .

It is a super-2 number, since 2×55010142100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55010142101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3400030 + ... + 3416170.

It is an arithmetic number, because the mean of its divisors is an integer number (1676096499).

Almost surely, 2^55010142100 is an apocalyptic number.

55010142100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55010142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60339473964).

55010142100 is an abundant number, since it is smaller than the sum of its proper divisors (65668805828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55010142100 is a wasteful number, since it uses less digits than its factorization.

55010142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16525 (or 16518 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 55010142100 its reverse (124101055), we get a palindrome (55134243155).

The spelling of 55010142100 in words is "fifty-five billion, ten million, one hundred forty-two thousand, one hundred".